报告题目：Mathematical analysis and numerical simulation of perfectly matched layers and graphene
报 告 人：李继春 教授（美国内华达大学拉斯维加斯分校）
报告时间：2024年8月4日（周日）上午10：00
报告地点：数学楼115（大报告厅）
邀 请 人：李崇君 教授 联系方式：84708351-8309
报告摘要：Real-world wave propagation problems are often formulated in unbounded or very large domains. Because of limited computational resources numerical simulations are often performed in truncated computational domains by introducing artificial boundaries. In 1994, Berenger introduced the concept of Perfectly Matched Layer (PML) in order to solve the time-dependent Maxwell's equations in unbounded domains. The PML can absorb outgoing waves of arbitrary frequency and any incidence angles. Since then, the PML idea has been extended to various wave propagation problems. In this talk, I will start with Berenger's PML and show the challenges of analyzing Berenger's PML model. Then I will focus on our recent works on some PML models, and mention some open issues. In the last part, I will talk about the simulation and analysis of wave propagation in graphene, which is often called a revolutionary material of the 21st century.
报告人简介：李继春教授，美国内华达大学拉斯维加斯分校教授，应用数学与统计中心主任，曾担任德克萨斯大学奥斯汀分校博士后研究员和加州大学洛杉矶分校应用数学研究所（IPAM）副所长。研究领域包括有限元方法、高阶紧差分方法、RBF无网格方法以及偏微分方程的应用。发表SCI论文140余篇，专著2部。在2022年Research.com全美前1000名数学家排名中位列第965位，全世界数学家排第2261位。目前，担任《Results in Applied Mathematics》的主编，《Computers and Mathematics with Applications》的执行主编。
